Theorems · Theorem · general topology
Order.Fill.continuous_some
∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : TopologicalSpace α] [OrderTopology α], Continuous ⇑Order.Fill.some- Defined in
- Mathlib.Topology.Order.Completion
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites30
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- LinearOrderstatement and proof · cited by 8,572
- Equivstatement · cited by 8,337
- Set.preimageproof · cited by 4,946
- Continuousstatement · cited by 2,592
- IsOpenproof · cited by 2,400
- Set.extproof · cited by 2,266
- Set.Ioiproof · cited by 1,463
- OrderTopologystatement and proof · cited by 1,355
- Set.Iioproof · cited by 1,166
Cited by1
Results whose statement or proof uses this declaration.
- Order.exists_dense_continuous_completionproof · cited by 0